A method is provided for a virtual sensor system. The method may include establishing a virtual sensor process model indicative of interrelationships between a plurality of sensing parameters and a plurality of measured parameters, and obtaining a set of values corresponding to the plurality of measured...http://www.google.com/patents/US20070118338?utm_source=gb-gplus-sharePatent US20070118338 - Process model based virtual sensor and method

A method is provided for a virtual sensor system. The method may include establishing a virtual sensor process model indicative of interrelationships between a plurality of sensing parameters and a plurality of measured parameters, and obtaining a set of values corresponding to the plurality of measured parameters. The method may also include calculating the values of the plurality of sensing parameters simultaneously based upon the set of values corresponding to the plurality of measured parameters and the virtual sensor process model, and providing the values of the plurality of sensing parameters to a control system.

Images(7)

Claims(29)

1. A method for a virtual sensor system, comprising:

establishing a virtual sensor process model indicative of interrelationships between a plurality of sensing parameters and a plurality of measured parameters;

obtaining a set of values corresponding to the plurality of measured parameters; and

calculating the values of the plurality of sensing parameters simultaneously based upon the set of values corresponding to the plurality of measured parameters and the virtual sensor process model.

2. The method according to claim 1, further including:

providing the values of the plurality of sensing parameters to a control system.

3. The method according to claim 2, wherein the establishing includes:

obtaining data records associated with one or more input variables and the plurality of sensing parameters;

selecting the plurality of measured parameters from the one or more input variables;

generating a computational model indicative of the interrelationships between the plurality of measured parameters and the plurality of sensing parameters;

determining desired statistical distributions of the plurality of measured parameters of the computational model; and

recalibrating the plurality of measured parameters based on the desired statistical distributions to define a desired input space.

4. The method according to claim 3, wherein selecting further includes:

pre-processing the data records; and

using a genetic algorithm to select the plurality of measured parameters from the one or more input variables based on a mahalanobis distance between a normal data set and an abnormal data set of the data records.

5. The method according to claim 3, wherein generating further includes:

creating a neural network computational model;

training the neural network computational model using the data records; and

validating the neural network computation model using the data records.

6. The method according to claim 3, wherein determining further includes:

determining a candidate set of the measured parameters with a maximum zeta statistic using a genetic algorithm; and

determining the desired distributions of the measured parameters based on the candidate set,

wherein the zeta statistic ζ is represented by:

ζ=∑1j∑1iSij(σix_i)(x_jσj),

provided that xi represents a mean of an ith input; xj represents a mean of a jth output; σi represents a standard deviation of the ith input; σj represents a standard deviation of the jth output; and |Siij| represents sensitivity of the jth output to the ith input of the computational model.

7. The method according to claim 1, wherein the providing includes:

separately obtaining values of the plurality of sensing parameters from a physical sensor;

determining that the physical sensor has failed; and

providing the values of the plurality of sensing parameters from the virtual sensor process model to the control system.

8. The method according to claim 1, wherein the plurality of sensing parameters include a NOx emission level.

10. A computer system for establishing a virtual sensor process model, comprising:

a database configured to store information relevant to the virtual sensor process model; and

a processor configured to:

obtain data records associated with one or more input variables and the plurality of sensing parameters;

select the plurality of measured parameters from the one or more input variables;

generate a computational model indicative of interrelationships between the plurality of measured parameters and the plurality of sensing parameters;

determine desired statistical distributions of the plurality of measured parameters of the computational model; and

recalibrate the plurality of measured parameters based on the desired statistical distributions to define a desired input space.

11. The computer system according to claim 10, wherein, to select the plurality of measured parameters, the processor is further configured to:

pre-process the data records; and

use a genetic algorithm to select the plurality of measured parameters from the one or more input variables based on a mahalanobis distance between a normal data set and an abnormal data set of the data records.

12. The computer system according to claim 10, wherein, to generate the computational model, the processor is further configured to:

create a neural network computational model;

train the neural network computational model using the data records; and

validate the neural network computation model using the data records.

13. The computer system according to claim 10, wherein, to determine the respective desired statistical distributions, the processor is further configured to:

determine a candidate set of the measured parameters with a maximum zeta statistic using a genetic algorithm; and

determine the desired distributions of the measured parameters based on the candidate set,

wherein the zeta statistic ζ is represented by:

ζ=∑1j∑1iSij(σix_i)(x_jσj),

provided that xi represents a mean of an ith input; xj represents a mean of a jth output; σi represents a standard deviation of the ith input; σj represents a standard deviation of the jth output; and is |Sij| represents sensitivity of the jth output to the ith input of the computational model.

14. A work machine, comprising:

a power source configured to provide power to the work machine;

a control system configured to control the power source; and

a virtual sensor system including a virtual sensor process model indicative of interrelationships between a plurality of sensing parameters and a plurality of measured parameters, the virtual sensor system being configured to:

obtain a set of values corresponding to the plurality of measured parameters;

calculate the values of the plurality of sensing parameters simultaneously based upon the set of values corresponding to the plurality of measured parameters and the virtual sensor process model; and

provide the values of the plurality of sensing parameters to the control system,

wherein the control system control the power source based upon the values of the plurality of sensing parameters.

15. The work machine according to claim 14, wherein the virtual sensor process model is established by:

obtaining data records associated with one or more input variables and the plurality of sensing parameters;

selecting the plurality of measured parameters from the one or more input variables;

generating a computational model indicative of the interrelationships between the plurality of measured parameters and the plurality of sensing parameters;

determining desired statistical distributions of the plurality of measured parameters of the computational model; and

recalibrating the plurality of measured parameters based on the desired statistical distributions to define a desired input space.

16. The work machine according to claim 15, wherein selecting further includes:

pre-processing the data records; and

using a genetic algorithm to select the plurality of measured parameters from the one or more input variables based on a mahalanobis distance between a normal data set and an abnormal data set of the data records.

17. The work machine according to claim 15, wherein generating further includes:

creating a neural network computational model;

training the neural network computational model using the data records; and

validating the neural network computation model using the data records.

18. The work machine according to claim 15, wherein determining further includes:

determining a candidate set of the measured parameters with a maximum zeta statistic using a genetic algorithm; and

determining the desired distributions of the measured parameters based on the candidate set,

wherein the zeta statistic ζ is represented by:

ζ=∑1j∑1iSij(σix_i)(x_jσj),

provided that xi represents a mean of an ith input; xj represents a mean of a jth output; σi represents a standard deviation of the ith input; σj represents a standard deviation of the jth output; and |Sij| represents sensitivity of the jth output to the ith input of the computational model.

19. The work machine according to claim 14, wherein the plurality of sensing parameters include a NOx emission level.

20. The work machine according to claim 14, wherein the power source includes an engine.

a data link between the control system and the virtual sensor system, wherein the virtual sensor system provides the values of the plurality of sensing parameters to the control system via the data link.

23. The work machine according to claim 22, further including:

one or more physical sensors configured to independently provide corresponding values of the plurality of sensing parameters to the control system via the data link.

24. The work machine according to claim 23, wherein the control system is further configured to:

determine that the one or more physical sensors have failed; and

control the power source based upon the values of the plurality of sensing parameters from the virtual sensor system.

25. The work machine according to claim 14, wherein the virtual sensor system coincide with the control system.

26. A computer-readable medium for use on a computer system configured to establish a virtual sensor process model, the computer-readable medium having computer-executable instructions for performing a method comprising:

obtaining data records associated with one or more input variables and the plurality of sensing parameters;

selecting the plurality of measured parameters from the one or more input variables;

generating a computational model indicative of interrelationships between the plurality of measured parameters and the plurality of sensing parameters;

determining desired statistical distributions of the plurality of measured parameters of the computational model; and

recalibrating the plurality of measured parameters based on the desired statistical distributions to define a desired input space.

27. The computer-readable medium according to claim 26, wherein the selecting includes:

pre-processing the data records; and

using a genetic algorithm to select the plurality of measured parameters from the one or more input variables based on a mahalanobis distance between a normal data set and an abnormal data set of the data records.

28. The computer-readable medium according to claim 26, wherein the generating includes:

creating a neural network computational model;

training the neural network computational model using the data records; and

validating the neural network computation model using the data records.

29. The computer-readable medium according to claim 26, wherein the determining includes:

determining a candidate set of the measured parameters with a maximum zeta statistic using a genetic algorithm; and

determining the desired distributions of the measured parameters based on the candidate set,

wherein the zeta statistic ζ is represented by:

ζ=∑1j∑1iSij(σix_i)(x_jσj),

provided that xi represents a mean of an ith input; xj represents a mean of a jth output; σi represents a standard deviation of the ith input; σj represents a standard deviation of the jth output; and |Sij| represents sensitivity of the jth output to the ith input of the computational model.

Description

TECHNICAL FIELD

This disclosure relates generally to computer based process modeling techniques and, more particularly, to virtual sensor systems and methods using process models.

BACKGROUND

Physical sensors are widely used in many products, such as modern work machines, to measure and monitor physical phenomena, such as temperature, speed, and emissions from motor vehicles. Physical sensors often take direct measurements of the physical phenomena and convert these measurements into measurement data to be further processed by control systems. Although physical sensors take direct measurements of the physical phenomena, physical sensors and associated hardware are often costly and, sometimes, unreliable. Further, when control systems rely on physical sensors to operate properly, a failure of a physical sensor may render such control systems inoperable. For example, the failure of a speed or timing sensor in an engine may result in shutdown of the engine entirely even if the engine itself is still operable.

Instead of direct measurements, virtual sensors are developed to process other various physically measured values and to produce values that are previously measured directly by physical sensors. For example, U.S. Pat. No. 5,386,373 (the '373 patent) issued to Keeler et al. on Jan. 31, 1995, discloses a virtual continuous emission monitoring system with sensor validation. The '373 patent uses a back propagation-to-activation model and a monte-carlo search technique to establish and optimize a computational model used for the virtual sensing system to derive sensing parameters from other measured parameters. However, such conventional techniques often fail to address inter-correlation between individual measured parameters, especially at the time of generation and/or optimization of computational models, or to correlate the other measured parameters to the sensing parameters.

Methods and systems consistent with certain features of the disclosed systems are directed to solving one or more of the problems set forth above.

SUMMARY OF THE INVENTION

One aspect of the present disclosure includes a method for a virtual sensor system. The method may include establishing a virtual sensor process model indicative of interrelationships between a plurality of sensing parameters and a plurality of measured parameters, and obtaining a set of values corresponding to the plurality of measured parameters. The method may also include calculating the values of the plurality of sensing parameters simultaneously based upon the set of values corresponding to the plurality of measured parameters and the virtual sensor process model, and providing the values of the plurality of sensing parameters to a control system.

Another aspect of the present disclosure includes a computer system for establishing a virtual sensor process model. The computer system may include a database configured to store information relevant to the virtual sensor process model and a processor. The processor may be configured to obtain data records associated with one or more input variables and the plurality of sensing parameters and to select the plurality of measured parameters from the one or more input variables. The processor may also be configured to generate a computational model indicative of interrelationships between the plurality of measured parameters and the plurality of sensing parameters and to determine desired statistical distributions of the plurality of measured parameters of the computational model. Further, the processor may be configured to recalibrate the plurality of measured parameters based on the desired statistical distributions to define a desired input space.

Another aspect of the present disclosure includes a work machine. The work machine may include a power source configured to provide power to the work machine and a control system configured to control the power source. The work machine may also include a virtual sensor system including a virtual sensor process model indicative of interrelationships between a plurality of sensing parameters and a plurality of measured parameters. The virtual sensor system may be configured to obtain a set of values corresponding to the plurality of measured parameters and to calculate the values of the plurality of sensing parameters simultaneously based upon the set of values corresponding to the plurality of measured parameters and the virtual sensor process model. The virtual sensor system may also be configured to provide the values of the plurality of sensing parameters to the control system. Further, the control system may control the power source based upon the values of the plurality of sensing parameters.

Another aspect of the present disclosure includes a computer-readable medium for use on a computer system configured to establish a virtual sensor process model. The computer-readable medium may have computer-executable instructions for performing a method. The method may include obtaining data records associated with one or more input variables and the plurality of sensing parameters, and selecting the plurality of measured parameters from the one or more input variables. The method may also include generating a computational model indicative of interrelationships between the plurality of measured parameters and the plurality of sensing parameters, determining desired statistical distributions of the plurality of measured parameters of the computational model, and recalibrating the plurality of measured parameters based on the desired statistical distributions to define a desired input space.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 illustrates an exemplary work machine in which features and principles consistent with certain disclosed embodiments may be incorporated;

FIG. 5 shows a flowchart diagram of an exemplary control process consistent with certain disclosed embodiments; and

FIG. 6 shows a flowchart diagram of another exemplary control process consistent with certain disclosed embodiments.

DETAILED DESCRIPTION

Reference will now be made in detail to exemplary embodiments, which are illustrated in the accompanying drawings. Wherever possible, the same reference numbers will be used throughout the drawings to refer to the same or like parts.

FIG. 1 illustrates an exemplary work machine 100 in which features and principles consistent with certain disclosed embodiments may be incorporated. Work machine 100 may refer to any type of fixed or mobile machine that performs some type of operation associated with a particular industry, such as mining, construction, farming, transportation, etc. and operates between or within work environments (e.g., construction site, mine site, power plants and generators, on-highway applications, etc.). Non-limiting examples of mobile machines include commercial machines, such as trucks, cranes, earth moving vehicles, mining vehicles, backhoes, material handling equipment, farming equipment, marine vessels, aircraft, and any type of movable machine that operates in a work environment. Work machine 100 may also include any type of commercial vehicle such as cars, vans, and other vehicles. Although, as shown in FIG. 1, work machine 100 is an earth handling type work machine, it is contemplated that work machine 100 may be any type of work machine.

As shown in FIG. 1, work machine 100 may include an engine 110, an engine control module (ECM) 120, a virtual sensor system 130, physical sensors 140 and 142, and a data link 150. Engine 110 may include any appropriate type of engine or power source that generates power for work machine 100, such as an internal combustion engine or fuel cell generator. ECM 120 may include any appropriate type of engine control system configured to perform engine control functions such that engine 110 may operate properly. ECM 120 may include any number of devices, such as microprocessors or microcontrollers, memory modules, communication devices, input/output devices, storages devices, etc., to perform such control functions. Further, ECM 120 may also control other systems of work machine 100, such as transmission systems, and/or hydraulics systems, etc. Computer software instructions may be stored in or loaded to ECM 120. ECM 120 may execute the computer software instructions to perform various control functions and processes.

ECM 120 may be coupled to data link 150 to receive data from and send data to other components, such as engine 110, physical sensors 140 and 142, virtual sensor system 130, and/or any other components (not shown) of work machine 100. Data link 150 may include any appropriate type of data communication medium, such as cable, wires, wireless radio, and/or laser, etc. Physical sensor 140 may include one or more sensors provided for measuring certain parameters of work machine operating environment. For example, physical sensor 140 may include emission sensors for measuring emissions of work machine 100, such as Nitrogen Oxides (NOx), Sulfur Dioxide (SO2), Carbon Monoxide (CO), total reduced Sulfur (TRS), etc. In particular, NOx emission sensing and reduction may be important to normal operation of engine 110. Physical sensor 142, on the other hand, may include any appropriate sensors that are used inside engine 110 or other work machine components (not show) to provide various measured parameters about engine 110 or other components, such as temperature, speed, etc.

Virtual sensor system 130 may include any appropriate type of control system that generate values of sensing parameters based on a computational model and a plurality of measured parameters. The sensing parameters may refer to those measurement parameters that are directly measured by a particular physical sensor. For example, a physical NOx emission sensor may measure the NOx emission level of work machine 100 and provide values of NOx emission level, the sensing parameter, to other components, such as ECM 120. Sensing parameters, however, may also include any output parameters that may be measured indirectly by physical sensors and/or calculated based on readings of physical sensors. On the other hand, the measured parameters may refer to any parameters relevant to the sensing parameters and indicative of the state of a component or components of work machine 100, such as engine 110. For example, for the sensing parameter NOx emission level, measured parameters may include environmental parameters, such as compression ratios, turbocharger efficiency, after cooler characteristics, temperature values, pressure values, ambient conditions, fuel rates, and engine speeds, etc.

Further, virtual sensor system 130 may be configured as a separate control system or, alternatively, may coincide with other control systems such as ECM 120. FIG. 2 shows an exemplary functional block diagram of virtual sensor system 130.

As shown in FIG. 2, virtual sensor system 120 may include a processor 202, a memory module 204, a database 206, an I/O interface 208, a network interface 210, and a storage 212. Other components, however, may also be included in virtual sensor system 120.

Processor 202 may include any appropriate type of general purpose microprocessor, digital signal processor, or microcontroller. Processor 202 may be configured as a separate processor module dedicated to controlling engine 110. Alternatively, processor 202 may be configured as a shared processor module for performing other functions unrelated to virtual sensors.

Memory module 204 may include one or more memory devices including, but not limited to, a ROM, a flash memory, a dynamic RAM, and a static RAM. Memory module 204 may be configured to store information used by processor 202. Database 206 may include any type of appropriate database containing information on characteristics of measured parameters, sensing parameters, mathematical models, and/or any other control information.

Further, I/O interface 208 may also be connected to data link 150 to obtain data from various sensors or other components (e.g., physical sensors 140 and 142) and/or to transmit data to these components and to ECM 120. Network interface 210 may include any appropriate type of network device capable of communicating with other computer systems based on one or more communication protocols. Storage 212 may include any appropriate type of mass storage provided to store any type of information that processor 202 may need to operate. For example, storage 212 may include one or more hard disk devices, optical disk devices, or other storage devices to provide storage space.

As explained above, virtual sensor system 130 may include a process model to provide values of certain sensing parameters to ECM 120. FIG. 3 shows a logical block diagram of an exemplary virtual sensor system 130.

As shown in FIG. 3, a virtual sensor process model 304 may be established to build interrelationships between input parameters 302 (e.g., measured parameters) and output parameters 306 (e.g., sensing parameters). After virtual sensor process model 304 is established, values of input parameters 302 may be provided to virtual sensor process model 304 to generate values of output parameters 306 based on the given values of input parameters 302 and the interrelationships between input parameters 302 and output parameters 306 established by the virtual sensor process model 304.

In certain embodiments, virtual sensor system 130 may include a NOx virtual sensor to provide levels of NOx emitted from an exhaust system (not shown) of work machine 100. Input parameters 302 may include any appropriate type of data associated with NOx emission levels. For example, input parameters 302 may include parameters that control operations of various response characteristics of engine 110 and/or parameters that are associated with conditions corresponding to the operations of engine 110. For example, input parameters 302 may include fuel injection timing, compression ratios, turbocharger efficiency, after cooler characteristics, temperature values (e.g., intake manifold temperature), pressure values (e.g., intake manifold pressure), ambient conditions (e.g., ambient humidity), fuel rates, and engine speeds, etc. Other parameters, however, may also be included. Input parameters 302 may be measured by certain physical sensors, such as physical sensor 142, or created by other control systems such as ECM 120. Virtual sensor system 130 may obtain values of input parameters 302 via an input 310 coupled to data link 150.

On the other hand, output parameters 306 may correspond to sensing parameters. For example, output parameters 306 of a NOx virtual sensor may include NOx emission level, and/or any other types of output parameters used by NOx virtual sensing application. Output parameters 306 (e.g., NOx emission level) may be sent to ECM 120 via output 320 coupled to data link 150.

Virtual sensor process model 304 may include any appropriate type of mathematical or physical model indicating interrelationships between input parameters 302 and output parameters 306. For example, virtual sensor process model 304 may be a neural network based mathematical model that is trained to capture interrelationships between input parameters 302 and output parameters 306. Other types of mathematic models, such as fuzzy logic models, linear system models, and/or non-linear system models, etc., may also be used. Virtual sensor process model 304 may be trained and validated using data records collected from a particular engine application for which virtual sensor process model 304 is established. That is, virtual sensor process model 304 may be established according to particular rules corresponding to a particular type of model using the data records, and the interrelationships of virtual sensor process model 304 may be verified by using part of the data records.

After virtual sensor process model 304 is trained and validated, virtual sensor process model 304 may be optimized to define a desired input space of input parameters 302 and/or a desired distribution of output parameters 306. The validated or optimized virtual sensor process model 304 may be used to produce corresponding values of output parameters 306 when provided with a set of values of input parameters 102. In the above example, virtual sensor process model 304 may be used to produce NOx emission level based on measured parameters, such as ambient humidity, intake manifold pressure, intake manifold temperature, fuel rate, and engine speed, etc.

Returning to FIG. 2, the establishment and operations of virtual sensor process model 304 may be carried out by processor 202 based on computer programs stored on or loaded to virtual sensor system 130. Alternatively, the establishment of virtual sensor process model 304 may be realized by other computer systems, such as ECM 120 or a separate general purpose computer configured to create process models. The created process model may then be loaded to virtual sensor system 130 for operations.

As shown in FIG. 4, at the beginning of the model generation and optimization process, processor 202 may obtain data records associated with input parameters 302 and output parameters 306 (step 402). The data records may include information characterizing engine operations and emission levels including NOx emission levels. Physical sensor 140, such as physical NOx emission sensors, may be provided to generate data records on output parameters 306 (e.g., sensing parameters such as NOx levels). ECM 120 and/or physical sensor 142 may provide data records on input parameters 302 (e.g., measured parameters, such as intake manifold temperature, intake manifold pressure, ambient humidity, fuel rates, and engine speeds, etc.). Further, the data records may include both input parameters and output parameters and may be collected based on various engines or based on a single test engine, under various predetermined operational conditions.

The data records may also be collected from experiments designed for collecting such data. Alternatively, the data records may be generated artificially by other related processes, such as other emission modeling or analysis processes. The data records may also include training data used to build virtual sensor process model 304 and testing data used to validate virtual sensor process model 304. In addition, the data records may also include simulation data used to observe and optimize virtual sensor process model 304.

The data records may reflect characteristics of input parameters 102 and output parameters 106, such as statistic distributions, normal ranges, and/or precision tolerances, etc. Once the data records are obtained (step 402), processor 202 may pre-process the data records to clean up the data records for obvious errors and to eliminate redundancies (step 404). Processor 202 may remove approximately identical data records and/or remove data records that are out of a reasonable range in order to be meaningful for model generation and optimization. After the data records have been pre-processed, processor 202 may select proper input parameters by analyzing the data records (step 406).

The data records may be associated with many input variables, such as variables corresponding to fuel injection timing, compression ratios, turbocharger efficiency, after cooler characteristics, various temperature parameters, various pressure parameters, various ambient conditions, fuel rates, and engine speeds, etc. The number of input variables may be greater than the number of a particular set of input parameters 102 used for virtual sensor process model 304, that is, input parameters 102 may be a subset of the input variables. For example, input parameter 302 may include intake manifold temperature, intake manifold pressure, ambient humidity, fuel rate, and engine speed, etc., of the input variables.

A large number of input variables may significantly increase computational time during generation and operations of the mathematical models. The number of the input variables may need to be reduced to create mathematical models within practical computational time limits. Additionally, in certain situations, the number of input variables in the data records may exceed the number of the data records and lead to sparse data scenarios. Some of the extra input variables may have to be omitted in certain mathematical models such that practical mathematical models may be created based on reduced variable number.

Processor 202 may select input parameters 302 from the input variables according to predetermined criteria. For example, processor 202 may choose input parameters 302 by experimentation and/or expert opinions. Alternatively, in certain embodiments, processor 202 may select input parameters based on a mahalanobis distance between a normal data set and an abnormal data set of the data records. The normal data set and abnormal data set may be defined by processor 202 using any appropriate method. For example, the normal data set may include characteristic data associated with input parameters 302 that produce desired output parameters. On the other hand, the abnormal data set may include any characteristic data that may be out of tolerance or may need to be avoided. The normal data set and abnormal data set may be predefined by processor 202.

Mahalanobis distance may refer to a mathematical representation that may be used to measure data profiles based on correlations between parameters in a data set. Mahalanobis distance differs from Euclidean distance in that mahalanobis distance takes into account the correlations of the data set. Mahalanobis distance of a data set X (e.g., a multivariate vector) may be represented as
MDi=(Xi−μx)Σ−1(Xi−μx)′ (1)
where μx is the mean of X and Σ−1 is an inverse variance-covariance matrix of X. MDi weights the distance of a data point Xi from its mean μx such that observations that are on the same multivariate normal density contour will have the same distance. Such observations may be used to identify and select correlated parameters from separate data groups having different variances.

Processor 202 may select input parameter 302 as a desired subset of input variables such that the mahalanobis distance between the normal data set and the abnormal data set is maximized or optimized. A genetic algorithm may be used by processor 202 to search input variables for the desired subset with the purpose of maximizing the mahalanobis distance. Processor 202 may select a candidate subset of the input variables based on a predetermined criteria and calculate a mahalanobis distance MDnormal of the normal data set and a mahalanobis distance MDabnormal of the abnormal data set. Processor 202 may also calculate the mahalanobis distance between the normal data set and the abnormal data (i.e., the deviation of the mahalanobis distance MDx=MDnormal−MDabnormal). Other types of deviations, however, may also be used.

Processor 202 may select the candidate subset of input variables if the genetic algorithm converges (i.e., the genetic algorithm finds the maximized or optimized mahalanobis distance between the normal data set and the abnormal data set corresponding to the candidate subset). If the genetic algorithm does not converge, a different candidate subset of input variables may be created for further searching. This searching process may continue until the genetic algorithm converges and a desired subset of input variables (e.g., input parameters 302) is selected.

Optionally, mahalanobis distance may also be used to reduce the number of data records by choosing a part of data records that achieve a desired mahalanobis distance, as explained above.

After selecting input parameters 302 (e.g., intake manifold temperature, intake manifold pressure, ambient humidity, fuel rate, and engine speed, etc.), processor 202 may generate virtual sensor process model 304 to build interrelationships between input parameters 302 and output parameters 306 (step 408). In certain embodiments, virtual sensor process model 304 may correspond to a computational model, such as, for example, a computational model built on any appropriate type of neural network. The type of neural network computational model that may be used may include back propagation, feed forward models, cascaded neural networks, and/or hybrid neural networks, etc. Particular type or structures of the neural network used may depend on particular applications. Other types of computational models, such as linear system or non-linear system models, etc., may also be used.

After the neural network has been trained (i.e., the computational model has initially been established based on the predetermined criteria), processor 202 may statistically validate the computational model (step 410). Statistical validation may refer to an analyzing process to compare outputs of the neural network computational model with actual or expected outputs to determine the accuracy of the computational model. Part of the data records may be reserved for use in the validation process.

Alternatively, processor 202 may also generate simulation or validation data for use in the validation process. This may be performed either independently of a validation sample or in conjunction with the sample. Statistical distributions of inputs may be determined from the data records used for modeling. A statistical simulation, such as Latin Hypercube simulation, may be used to generate hypothetical input data records. These input data records are processed by the computational model, resulting in one or more distributions of output characteristics. The distributions of the output characteristics from the computational model may be compared to distributions of output characteristics observed in a population. Statistical quality tests may be performed on the output distributions of the computational model and the observed output distributions to ensure model integrity.

Processor 202 may analyze the relationships between desired distributions of input parameters 302 and desired distributions of output parameters 306 based on particular applications. For example, processor 202 may select desired ranges for output parameters 306 (e.g., NOx emission level that is desired or within certain predetermined range). Processor 202 may then run a simulation of the computational model to find a desired statistic distribution for an individual input parameter (e.g., one of intake manifold temperature, intake manifold pressure, ambient humidity, fuel rate, and engine speed, etc.). That is, processor 202 may separately determine a distribution (e.g., mean, standard variation, etc.) of the individual input parameter corresponding to the normal ranges of output parameters 306. After determining respective distributions for all individual input parameters, processor 202 may combine the desired distributions for all the individual input parameters to determine desired distributions and characteristics for overall input parameters 302.

Alternatively, processor 202 may identify desired distributions of input parameters 302 simultaneously to maximize the possibility of obtaining desired outcomes. In certain embodiments, processor 202 may simultaneously determine desired distributions of input parameters 302 based on zeta statistic. Zeta statistic may indicate a relationship between input parameters, their value ranges, and desired outcomes. Zeta statistic may be represented as
ζ=∑1j∑1iSij(σix_i)(x_jσj),
where xi represents the mean or expected value of an ith input; xj represents the mean or expected value of a jth outcome; σi represents the standard deviation of the ith input; σj represents the standard deviation of the jth outcome; and |Sij| represents the partial derivative or sensitivity of the jth outcome to the ith input.

Under certain circumstances, xi may be less than or equal to zero. A value of 3 σi may be added to xi to correct such problematic condition. If, however, xi is still equal zero even after adding the value of 3 σi, processor 202 may determine that σi may be also zero and that the process model under optimization may be undesired. In certain embodiments, processor 202 may set a minimum threshold for σi to ensure reliability of process models. Under certain other circumstances, σj may be equal to zero. Processor 202 may then determine that the model under optimization may be insufficient to reflect output parameters within a certain range of uncertainty. Processor 202 may assign an indefinite large number to ζ.

Processor 202 may identify a desired distribution of input parameters 302 such that the zeta statistic of the neural network computational model (i.e., virtual sensor process model 304) is maximized or optimized. An appropriate type of genetic algorithm may be used by processor 202 to search the desired distribution of input parameters 302 with the purpose of maximizing the zeta statistic. Processor 202 may select a candidate set values of input parameters 302 with predetermined search ranges and run a simulation of virtual sensor process model 304 to calculate the zeta statistic parameters based on input parameters 302, output parameters 306, and the neural network computational model. Processor 202 may obtain xi and σi by analyzing the candidate set values of input parameters 302, and obtain xj and σj by analyzing the outcomes of the simulation. Further, processor 202 may obtain |Sij| from the trained neural network as an indication of the impact of the ith input on the jth outcome.

Processor 202 may select the candidate set of input parameters 302 if the genetic algorithm converges (i.e., the genetic algorithm finds the maximized or optimized zeta statistic of virtual sensor process model 304 corresponding to the candidate set of input parameters 302). If the genetic algorithm does not converge, a different candidate set values of input parameters 302 may be created by the genetic algorithm for further searching. This searching process may continue until the genetic algorithm converges and a desired set of input parameters 302 is identified. Processor 202 may further determine desired distributions (e.g., mean and standard deviations) of input parameters 302 based on the desired input parameter set. Once the desired distributions are determined, processor 202 may define a valid input space that may include any input parameter within the desired distributions (step 414).

In one embodiment, statistical distributions of certain input parameters may be impossible or impractical to control. For example, an input parameter may be associated with a physical attribute of a device, such as a dimensional attribute of an engine part, or the input parameter may be associated with a constant variable within virtual sensor process model 304 itself. These input parameters may be used in the zeta statistic calculations to search or identify desired distributions for other input parameters corresponding to constant values and/or statistical distributions of these input parameters.

Further, optionally, more than one virtual sensor process model may be established. Multiple established virtual sensor process models may be simulated by using any appropriate type of simulation method, such as statistical simulation. Output parameters 306 based on simulation of these multiple virtual sensor process models may be compared to select a most-fit virtual sensor process model based on predetermined criteria, such as smallest variance with outputs from corresponding physical sensors, etc. The selected most-fit virtual sensor process model 304 may be deployed in virtual sensor applications.

Returning to FIG. 1, after virtual sensor process model 304 is trained, validated, optimized, and/or selected, ECM 120 and virtual sensor system 130 may provide control functions to relevant components of work machine 100. For example, ECM 120 may control engine 110 according to NOx emission level provided by virtual sensor system 130, and, in particular, by virtual sensor process model 304.

In certain embodiments, virtual sensor system 130 may be used to replace corresponding physical sensors. For example, virtual sensor system 130 may replace one or more NOx emission sensors used by ECM 120. ECM 120 may perform a control process based on virtual sensor system 130. FIG. 5 shows an exemplary control process performed by ECM 120.

ECM 120 may obtain output parameters 306 (e.g., NOx emission level) from virtual sensor system 130 via data link 150 (step 506). In certain situations, ECM 120 may be unaware the source of output parameters 306. That is, ECM 120 may be unaware whether output parameters 306 are from virtual sensor system 130 or from physical sensors. For example, ECM 120 may obtain NOx emission level from data link 150 without discerning the source of such data. After ECM 120 obtains the NOx emission level from virtual sensor system 130 (step 506), ECM 120 may control engine 110 and/or other components of work machine 100 based on the NOx emission level (step 508). For example, ECM 120 may perform certain emission enhancing or minimization processes.

In certain other embodiments, virtual sensor system 130 may be used in combination with physical sensors or as a back up for physical sensors. For example, virtual sensor system 130 may be used when one or more NOx emission sensors have failed. ECM 120 may perform a control process based on virtual sensor system 130 and corresponding physical sensors. FIG. 6 shows another exemplary control process performed by ECM 120.

On the other hand, if the physical sensors have not failed (step 610; no), ECM 120 may use NOx emission level from the physical sensors to control engine 110 and/or other components of work machine 100 (step 614). Alternatively, ECM 120 may obtain NOx emission levels from virtual sensor system 130 and the physical sensors to determine whether there is any deviation between the NOx emission levels. If the deviation is beyond a predetermined threshold, ECM 120 may declare a failure and switch to virtual sensor system 130 or use a preset value that is neither from virtual sensor system 130 nor from the physical sensors.

In addition, ECM 120 may also obtain measuring parameters that may be unavailable in physical sensors 140 and 142. For example, virtual sensor system 130 may include a process model indicative of interrelationships between oxygen density in a certain geographical area (e.g., the state of Colorado, etc.) and space-based satellite and weather data. That is, virtual sensor system 130 may provide ECM 120 with measuring parameters, such as the oxygen density, that may be otherwise unavailable on physical sensors.

INDUSTRIAL APPLICABILITY

The disclosed systems and methods may provide efficient and accurate virtual sensor process models in substantially less time than other virtual sensing techniques. Such technology may be used in a wide range of virtual sensors, such as sensors for engines, structures, environments, and materials, etc. In particular, the disclosed systems and methods provide practical solutions when process models are difficult to build using other techniques due to computational complexities and limitations. When input parameters are optimized simultaneously to derive output parameters, computation may be minimized. The disclosed systems and methods may be used in combination with other process modeling techniques to significantly increase speed, practicality, and/or flexibility.

The disclosed systems and methods may provide flexible solutions as well. The disclosed virtual sensor system may used interchangeably with a corresponding physical sensor. By using a common data link for both the virtual sensor and the physical sensor, the virtual sensor model of the virtual sensor system may be trained by the same physical sensor that the virtual sensor system replaces. Control systems may operate based on either the virtual sensor system or the physical sensor without differentiating which one is the data source.

The disclosed virtual sensor system may be used to replace the physical sensor and may operate separately and independently of the physical sensor. The disclosed virtual sensor system may also be used to back up the physical sensor. Moreover, the virtual sensor system may provide parameters that are unavailable from a single physical sensor, such as data from outside the sensing environment.

The disclosed systems and methods may also be used by work machine manufacturers to reduce cost and increase reliability by replacing costly or failure-prone physical sensors. Reliability and flexibility may also be improved by adding backup sensing resources via the disclosed virtual sensor system. The disclosed virtual sensor techniques may be used to provide a wide range of parameters in components such as emission, engine, transmission, navigation, and/or control, etc. Further, parts of the disclosed system or steps of the disclosed method may also be used by computer system providers to facilitate or integrate other process models.

Other embodiments, features, aspects, and principles of the disclosed exemplary systems will be apparent to those skilled in the art and may be implemented in various environments and systems.